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Finding the Fourth Proportional to 11,781.56, 16,257.50 and 7,001.14

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Solution

The fourth proportional to 11,781.56, 16,257.50 and 7,001.14 is: 9,660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.56 : 16,257.50 = 7,001.14 : x
  2. Step 2: Convert to fraction form
    11,781.56/16,257.50 = 7,001.14/x
  3. Step 3: Cross multiply
    11,781.56x = 16,257.50 × 7,001.14
  4. Step 4: Simplify right side
    11,781.56x = 113,821,033.55
  5. Step 5: Solve for x
    x = 113,821,033.55/11,781.56
  6. Step 6: Final answer
    x = 9,660.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.